Parallel multicanonical study of the three-dimensional Blume-Capel model

Abstract

We study the thermodynamic properties of the three-dimensional Blume-Capel model on the simple cubic lattice by means of computer simulations. In particular, we implement a parallelized variant of the multicanonical approach and perform simulations by keeping a constant temperature and crossing the phase boundary along the crystal-field axis. We obtain numerical data for several temperatures in both the first- and second-order regime of the model. Finite-size scaling analyses provide us with transition points and the dimensional scaling behavior in the numerically demanding first-order regime, as well as a clear verification of the expected Ising universality in the respective second-order regime. Finally, we discuss the scaling behavior in the vicinity of the tricritical point.

9 pages, 9 figures, version to be published in Phys Rev E

References in corpus (8)

• Performance Limitations of Flat Histogram Methods and Optimality of Wang-Landau Sampling
• Strong Violation of Critical Phenomena Universality: Wang-Landau Study of the 2d Blume-Capel Model under Bond Randomness
• First-order transition features of the 3D bimodal random-field Ising model
• Monte Carlo study of the evaporation/condensation transition on different Ising lattices
• Wang-Landau study of the triangular Blume-Capel ferromagnet
• Anisotropy of the interface tension of the three-dimensional Ising model
• Wang-Landau/Multibondic Cluster Simulations for Second-Order Phase Transitions
• Simulating flexible polymers in a potential of randomly distributed hard disks

Cited by in corpus (2)

• Critical behavior in the presence of an order-parameter pinning field
• Frustrated mixed spin-1/2 and spin-1 Ising ferrimagnets on a triangular lattice